
Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 929.0ms | 8 256× | 0 | valid |
ival-sin: 266.0ms (40.8% of total)ival-div: 147.0ms (22.5% of total)ival-cosh: 146.0ms (22.4% of total)ival-mult: 84.0ms (12.9% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 85.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 14.0ms (53.5% of total)ival-cosh: 5.0ms (19.1% of total)ival-div: 4.0ms (15.3% of total)ival-mult: 3.0ms (11.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 408× | div-sub |
| 1 266× | distribute-lft-in |
| 1 178× | distribute-rgt-in |
| 796× | sub-neg |
| 704× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 61 | 37 |
| 2 | 186 | 37 |
| 3 | 490 | 37 |
| 4 | 1600 | 37 |
| 5 | 3315 | 37 |
| 6 | 4803 | 37 |
| 7 | 5790 | 37 |
| 8 | 6164 | 37 |
| 9 | 6257 | 37 |
| 10 | 6281 | 37 |
| 11 | 7599 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 34 | 7 |
| 3 | 60 | 7 |
| 4 | 96 | 7 |
| 5 | 136 | 7 |
| 6 | 208 | 7 |
| 7 | 354 | 7 |
| 8 | 713 | 7 |
| 9 | 786 | 7 |
| 10 | 829 | 7 |
| 11 | 829 | 7 |
| 0 | 829 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(abs y)
(abs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 420× | lower-*.f32 |
| 418× | lower-*.f64 |
| 276× | times-frac |
| 234× | associate-*l* |
| 220× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 34 | 17 |
| 3 | 60 | 17 |
| 4 | 96 | 17 |
| 5 | 136 | 17 |
| 6 | 208 | 17 |
| 7 | 354 | 17 |
| 8 | 713 | 17 |
| 9 | 786 | 17 |
| 10 | 829 | 17 |
| 11 | 829 | 17 |
| 0 | 829 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.15625 | (/.f64 (sin.f64 y) y) |
| 29.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-mult: 8.0ms (41.4% of total)ival-sin: 6.0ms (31.1% of total)ival-cosh: 3.0ms (15.5% of total)ival-div: 2.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 3.0ms | x | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | 0 | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 6 160× | lower-+.f64 |
| 6 160× | lower-+.f32 |
| 4 408× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 638 |
| 1 | 268 | 614 |
| 2 | 941 | 588 |
| 3 | 3141 | 569 |
| 0 | 8072 | 539 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
| 5 572× | lower-*.f32 |
| 5 570× | lower-*.f64 |
| 4 692× | lower-/.f32 |
| 4 690× | lower-/.f64 |
| 1 418× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 130 | 15 |
| 3 | 1025 | 15 |
| 0 | 8438 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (/.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 y)))) |
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(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (+.f64 x x))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (exp.f64 (+.f64 x x))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(cosh.f64 x) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
Compiled 8 432 to 1 224 computations (85.5% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 495 | 17 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 495 | 18 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 58.5% | (/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) | |
| ▶ | 99.8% | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
| 99.5% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) | |
| ▶ | 44.6% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
| 62.5% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| ▶ | 99.7% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| 55.5% | (*.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))) | |
| ✓ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 58.2% | (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y)))) | |
| 55.9% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 59.5% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 55.6% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 59.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 92.3% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 89.6% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 76.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 54.8% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
Compiled 523 to 336 computations (35.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) | |
| cost-diff | 64 | (fma.f64 y y #s(literal 0 binary64)) | |
| cost-diff | 256 | (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) | |
| cost-diff | 1280 | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y (sin.f64 y)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 384 | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
| 3 098× | lower-*.f32 |
| 3 084× | lower-*.f64 |
| 2 302× | lower-fma.f32 |
| 2 296× | lower-fma.f64 |
| 1 950× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 180 |
| 0 | 48 | 168 |
| 1 | 96 | 162 |
| 2 | 288 | 160 |
| 3 | 1507 | 160 |
| 4 | 4685 | 160 |
| 5 | 6981 | 160 |
| 0 | 8067 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(cosh.f64 x) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(cosh.f64 x) |
x |
(neg.f64 (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(fma.f64 y y #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(cosh.f64 x) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x)) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x)) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) (cosh.f64 x)) |
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(cosh.f64 x) |
x |
(neg.f64 (*.f64 (*.f64 y y) y)) |
(*.f64 (neg.f64 y) (*.f64 y y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(fma.f64 y y #s(literal 0 binary64)) |
(*.f64 y y) |
#s(literal 0 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 y y) y) | |
| accuracy | 10.795075018930643 | (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) | |
| accuracy | 22.21532169996906 | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (cosh.f64 x) y) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.0625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 35.06634110826468 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 34.96219936240308 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.0703125 | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) | |
| accuracy | 0.15625 | (/.f64 y (sin.f64 y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 159 to 28 computations (82.4% saved)
ival-mult: 16.0ms (29.4% of total)ival-add: 9.0ms (16.6% of total)const: 9.0ms (16.6% of total)ival-div: 8.0ms (14.7% of total)ival-sin: 7.0ms (12.9% of total)ival-cosh: 3.0ms (5.5% of total)ival-neg: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) y) (patch (*.f64 (*.f64 y y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0) (* (neg (sin y)) (cosh x)) (+ (* 1/120 (* y y)) -1/6) (* (* y y) y)) |
| 4.0ms | y | @ | -inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0) (* (neg (sin y)) (cosh x)) (+ (* 1/120 (* y y)) -1/6) (* (* y y) y)) |
| 3.0ms | y | @ | inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0) (* (neg (sin y)) (cosh x)) (+ (* 1/120 (* y y)) -1/6) (* (* y y) y)) |
| 2.0ms | y | @ | 0 | ((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0) (* (neg (sin y)) (cosh x)) (+ (* 1/120 (* y y)) -1/6) (* (* y y) y)) |
| 2.0ms | x | @ | -inf | ((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0) (* (neg (sin y)) (cosh x)) (+ (* 1/120 (* y y)) -1/6) (* (* y y) y)) |
| 1× | egg-herbie |
| 11 986× | lower-fma.f64 |
| 11 986× | lower-fma.f32 |
| 4 572× | lower-+.f64 |
| 4 572× | lower-+.f32 |
| 4 218× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 3774 |
| 1 | 628 | 3590 |
| 2 | 2323 | 3453 |
| 3 | 5712 | 3385 |
| 4 | 6893 | 3385 |
| 5 | 7661 | 3385 |
| 0 | 8008 | 3258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2))) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (pow y 2)) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (pow y 2)) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) (pow y 3)) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 3))) (/ (sin y) (pow y 3))) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/2 (/ (sin y) (pow y 3))))) (/ (sin y) (pow y 3))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 3))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/24 (/ (sin y) (pow y 3))))))) (/ (sin y) (pow y 3))) |
(* -1 (sin y)) |
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y)))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y)))))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y)))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (pow y 2)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (pow y 2)) |
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) (*.f64 y y)) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* -1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))) |
(*.f64 (*.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 #s(literal 1/12 binary64) (*.f64 y y) #s(literal -1/2 binary64))) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/240 binary64) (*.f64 y y) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) y) |
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* 1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/10080 binary64) (*.f64 y y) #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) y) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(pow y 3) |
(*.f64 (*.f64 y y) y) |
(pow y 3) |
(*.f64 (*.f64 y y) y) |
(pow y 3) |
(*.f64 (*.f64 y y) y) |
(pow y 3) |
(*.f64 (*.f64 y y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
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(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (fma.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))) |
(/ (sin y) (pow y 3)) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 3))) (/ (sin y) (pow y 3))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/2 (/ (sin y) (pow y 3))))) (/ (sin y) (pow y 3))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 3))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/24 (/ (sin y) (pow y 3))))))) (/ (sin y) (pow y 3))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)))) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y)))) |
(*.f64 (sin.f64 y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y)))))) |
(*.f64 (sin.f64 y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y)))))))) |
(fma.f64 (*.f64 (sin.f64 y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) (neg.f64 (sin.f64 y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
| 9 406× | lower-fma.f32 |
| 9 400× | lower-fma.f64 |
| 5 686× | lower-*.f32 |
| 5 672× | lower-*.f64 |
| 2 778× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 139 |
| 0 | 48 | 123 |
| 1 | 162 | 121 |
| 2 | 1269 | 121 |
| 0 | 8629 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(cosh.f64 x) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) |
(fma.f64 y y #s(literal 0 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (*.f64 y y) (/.f64 (sin.f64 y) (*.f64 y y))) (/.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 (*.f64 y y) (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 y y))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (*.f64 y y) (/.f64 (cosh.f64 x) (*.f64 y y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (*.f64 y y) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y))) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (*.f64 y y) (neg.f64 (cosh.f64 x))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (*.f64 y y) (cosh.f64 x)) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (*.f64 y y) (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (*.f64 y y) y))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (*.f64 (neg.f64 y) y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 y y) (sin.f64 y)) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (sin.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y))) y) y) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (sin.f64 y) y)) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64)) (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (*.f64 (/.f64 (cosh.f64 x) y) (*.f64 y y))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 y y)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 y y))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 y y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) (/.f64 (*.f64 y y) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) y) y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (*.f64 y y) y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (neg.f64 y) y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (*.f64 y y) y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (neg.f64 y) y)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (*.f64 y y) y)) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (*.f64 (neg.f64 y) y) y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (*.f64 (neg.f64 y) y) y))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y))))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (sin.f64 y) (cosh.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (cosh.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (*.f64 (*.f64 (*.f64 y y) y) y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (sin.f64 y) (cosh.f64 x)))))) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (sin.f64 y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 y y) y)) (*.f64 y y))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 y y))) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (cosh.f64 x))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (cosh.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(*.f64 (*.f64 y y) (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 (sin.f64 y) (*.f64 (neg.f64 (cosh.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))))) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y)) (*.f64 y y))) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(*.f64 y (*.f64 (*.f64 y (sin.f64 y)) (/.f64 (cosh.f64 x) (*.f64 (*.f64 y y) y)))) |
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))) |
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) (*.f64 y y))) |
(*.f64 (cosh.f64 x) (*.f64 (neg.f64 (sin.f64 y)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (sin.f64 y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 y) y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (*.f64 y y))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y)))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) (*.f64 y y)) y) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (*.f64 (*.f64 y y) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (*.f64 y y)) (*.f64 (neg.f64 y) y)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y)) (sin.f64 y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (*.f64 y y)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (cosh.f64 x))) |
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 y y)))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) y)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) y #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) y #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 y y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) y)) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) |
(+.f64 (*.f64 (*.f64 y y) y) #s(literal 0 binary64)) |
Compiled 36 774 to 2 570 computations (93% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 910 | 17 | 1 927 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 920 | 25 | 1 945 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
| 58.5% | (/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) | |
| 25.0% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y)) | |
| 99.7% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) | |
| ▶ | 54.7% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| 99.5% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) | |
| 62.5% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| 93.7% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) | |
| 91.7% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y)) | |
| 54.7% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| ✓ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 55.6% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 59.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 27.9% | (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) | |
| 80.7% | (*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) | |
| ▶ | 92.3% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ▶ | 54.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 55.4% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 52.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 76.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 47.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 42.1% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 37.0% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 26.2% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 54.8% | #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
Compiled 760 to 449 computations (40.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 y)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) y) | |
| cost-diff | 1088 | (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
| 1 134× | lower-fma.f32 |
| 1 128× | lower-fma.f64 |
| 862× | lower-*.f32 |
| 854× | lower-*.f64 |
| 588× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 250 |
| 0 | 46 | 250 |
| 1 | 77 | 248 |
| 2 | 125 | 248 |
| 3 | 283 | 248 |
| 4 | 607 | 248 |
| 5 | 823 | 248 |
| 6 | 873 | 248 |
| 7 | 1106 | 248 |
| 8 | 1511 | 248 |
| 9 | 1926 | 248 |
| 10 | 2045 | 248 |
| 11 | 2091 | 248 |
| 12 | 2163 | 248 |
| 13 | 2166 | 248 |
| 14 | 2166 | 248 |
| 0 | 2166 | 248 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.15625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.29229088495702826 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 4.753322854910198 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0703125 | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) | |
| accuracy | 0.15625 | (/.f64 y (sin.f64 y)) | |
| accuracy | 28.701587948468546 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.29229088495702826 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 4.753322854910198 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 34.96219936240308 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 28.701587948468546 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| accuracy | 34.96219936240308 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (cosh.f64 x) y) | |
| accuracy | 0.09765625 | (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| accuracy | 0.140625 | (/.f64 #s(literal 1 binary64) (sin.f64 y)) |
| 110.0ms | 256× | 0 | valid |
Compiled 180 to 24 computations (86.7% saved)
ival-mult: 52.0ms (58.5% of total)ival-div: 13.0ms (14.6% of total)const: 7.0ms (7.9% of total)ival-add: 6.0ms (6.8% of total)ival-sin: 6.0ms (6.8% of total)ival-cosh: 3.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/6 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | y | @ | inf | ((/ (/ (cosh x) y) (/ 1 (sin y))) (/ (cosh x) y) (cosh x) (/ 1 (sin y)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y)) |
| 2.0ms | x | @ | inf | ((/ (/ (cosh x) y) (/ 1 (sin y))) (/ (cosh x) y) (cosh x) (/ 1 (sin y)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y)) |
| 2.0ms | y | @ | -inf | ((/ (/ (cosh x) y) (/ 1 (sin y))) (/ (cosh x) y) (cosh x) (/ 1 (sin y)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y)) |
| 2.0ms | x | @ | -inf | ((/ (/ (cosh x) y) (/ 1 (sin y))) (/ (cosh x) y) (cosh x) (/ 1 (sin y)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y)) |
| 1.0ms | y | @ | 0 | ((/ (/ (cosh x) y) (/ 1 (sin y))) (/ (cosh x) y) (cosh x) (/ 1 (sin y)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y)) |
| 1× | egg-herbie |
| 23 386× | lower-fma.f64 |
| 23 386× | lower-fma.f32 |
| 5 184× | lower-+.f64 |
| 5 184× | lower-+.f32 |
| 4 278× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 3290 |
| 1 | 442 | 3170 |
| 2 | 1419 | 3052 |
| 3 | 4457 | 2955 |
| 0 | 8116 | 2813 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(/ 1 y) |
(/ (+ 1 (* 1/6 (pow y 2))) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* 1/6 (pow y 2))) y) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(/ y (sin y)) |
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(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| 6 508× | lower-fma.f32 |
| 6 502× | lower-fma.f64 |
| 5 598× | lower-*.f32 |
| 5 590× | lower-*.f64 |
| 4 102× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 161 |
| 0 | 46 | 161 |
| 1 | 153 | 159 |
| 2 | 886 | 159 |
| 0 | 8421 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 (sin.f64 y) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
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(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal 1/17280 binary64)))) (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
Compiled 37 859 to 2 480 computations (93.4% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 359 | 19 | 1 378 |
| Fresh | 5 | 13 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 365 | 38 | 1 403 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 58.5% | (/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) | |
| 25.0% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y)) | |
| ✓ | 54.7% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| 36.1% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 37.3% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 33.1% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 54.6% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) | |
| 27.2% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 27.1% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 99.5% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| 62.5% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| 93.7% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) | |
| 91.7% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y)) | |
| 54.7% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| ✓ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| ✓ | 59.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 27.9% | (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
| 80.7% | (*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) | |
| ✓ | 92.3% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 53.0% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 54.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 38.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 54.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 52.2% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 28.2% | (*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 30.1% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 52.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 76.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 47.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 42.1% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ▶ | 53.8% | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 53.8% | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 36.1% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 37.0% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 32.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 26.2% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 54.8% | #s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
Compiled 1 352 to 721 computations (46.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) | |
| cost-diff | 0 | #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) | |
| cost-diff | 64 | (fma.f64 y y #s(literal 0 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 12864 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| 10 048× | lower-fma.f32 |
| 10 036× | lower-fma.f64 |
| 3 584× | lower-*.f32 |
| 3 552× | lower-*.f64 |
| 2 602× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 513 |
| 0 | 98 | 511 |
| 1 | 193 | 495 |
| 2 | 435 | 475 |
| 3 | 1316 | 459 |
| 4 | 3952 | 459 |
| 5 | 7145 | 459 |
| 0 | 8539 | 443 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(sin.f64 y) |
(cosh.f64 x) |
x |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) |
#s(literal 1/576 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) |
(*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
#s(literal 1/518400 binary64) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
#s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) |
(sin.f64 y) |
y |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(fma.f64 y y #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (sin.f64 y)) |
(sin.f64 y) |
(cosh.f64 x) |
x |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) |
(fma.f64 (*.f64 #s(literal -1/518400 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/576 binary64)) |
#s(literal 1/576 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x) |
(*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
#s(literal 1/518400 binary64) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
#s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) |
(sin.f64 y) |
y |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(fma.f64 y y #s(literal 0 binary64)) |
(*.f64 y y) |
#s(literal 0 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (*.f64 (*.f64 y y) y) | |
| accuracy | 3.4759351839734784 | (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) | |
| accuracy | 22.21532169996906 | (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) | |
| accuracy | 23.386511206983585 | #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) | |
| accuracy | 0.3635036874200005 | (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) | |
| accuracy | 4.753322854910198 | #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 19.235003265253788 | (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) | |
| accuracy | 34.96219936240308 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.29229088495702826 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 4.753322854910198 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 33.66586921437501 | #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) | |
| accuracy | 34.96219936240308 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 28.701587948468546 | #s(approx (cosh x) #s(literal 1 binary64)) | |
| accuracy | 35.342331087023446 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| accuracy | 0.0078125 | (cosh.f64 x) | |
| accuracy | 0.1640625 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) | |
| accuracy | 0.19921875 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
| 106.0ms | 256× | 0 | valid |
Compiled 343 to 52 computations (84.8% saved)
ival-mult: 29.0ms (35% of total)const: 17.0ms (20.5% of total)ival-add: 8.0ms (9.7% of total)ival-div: 7.0ms (8.4% of total)ival-sin: 7.0ms (8.4% of total)ival-pow: 7.0ms (8.4% of total)ival-cosh: 2.0ms (2.4% of total)ival-sub: 2.0ms (2.4% of total)ival-neg: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (patch #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (patch (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (patch (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal 0 binary64)) (patch (fma.f64 y y #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) (patch (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (patch #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) (patch (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) y) (patch (*.f64 (*.f64 y y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) (patch (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) (patch (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) (patch (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) (taylor -inf x) (#s(alt #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (patch #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) (taylor -inf x) (#s(alt #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (patch #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) (taylor -inf x) (#s(alt #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (patch #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) (taylor -inf x) (#s(alt #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (patch #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/518400 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/518400 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/518400 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/518400 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* y y) 0) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/ (sin y) (* (* y y) y)) (cosh x) (* y y) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) (* 1/518400 (* x x)) (* (* y y) y)) |
| 5.0ms | y | @ | -inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* y y) 0) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/ (sin y) (* (* y y) y)) (cosh x) (* y y) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) (* 1/518400 (* x x)) (* (* y y) y)) |
| 3.0ms | x | @ | -inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* y y) 0) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/ (sin y) (* (* y y) y)) (cosh x) (* y y) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) (* 1/518400 (* x x)) (* (* y y) y)) |
| 3.0ms | y | @ | inf | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* y y) 0) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/ (sin y) (* (* y y) y)) (cosh x) (* y y) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) (* 1/518400 (* x x)) (* (* y y) y)) |
| 2.0ms | y | @ | 0 | ((* (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x)))) (pow y -1/2) (* (pow y -1/2) (* (sin y) (cosh x))) (* (sin y) (cosh x)) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* y y) 0) (* (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (+ (* y y) 0)) (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/ (sin y) (* (* y y) y)) (cosh x) (* y y) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) (* 1/518400 (* x x)) (* (* y y) y)) |
| 1× | egg-herbie |
| 12 690× | lower-fma.f64 |
| 12 690× | lower-fma.f32 |
| 5 412× | lower-*.f64 |
| 5 412× | lower-*.f32 |
| 4 196× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 4946 |
| 1 | 678 | 4704 |
| 2 | 2537 | 4522 |
| 3 | 6208 | 4434 |
| 0 | 8373 | 4239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) |
(+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) |
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2))) |
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (pow y 2)) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (pow y 2)) |
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1/6 (pow y 2))) (pow y 2)) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (pow y 2)) |
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(/ (sin y) (pow y 3)) |
(/ (sin y) (pow y 3)) |
(/ (sin y) (pow y 3)) |
(/ (sin y) (pow y 3)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(/ (sin y) (pow y 3)) |
(/ (sin y) (pow y 3)) |
(/ (sin y) (pow y 3)) |
(/ (sin y) (pow y 3)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* (sqrt (/ 1 y)) (sin y)) |
(+ (* 1/2 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sin y))) |
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/24 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 y)) (sin y)))))) |
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y)))))))) |
(sin y) |
(+ (sin y) (* 1/2 (* (pow x 2) (sin y)))) |
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y))))) |
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
1/576 |
(+ 1/576 (* -1/518400 (pow x 4))) |
(+ 1/576 (* -1/518400 (pow x 4))) |
(+ 1/576 (* -1/518400 (pow x 4))) |
1/24 |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ (sin y) (pow y 3)) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 3))) (/ (sin y) (pow y 3))) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/2 (/ (sin y) (pow y 3))))) (/ (sin y) (pow y 3))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 3))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/24 (/ (sin y) (pow y 3))))))) (/ (sin y) (pow y 3))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/518400 (pow x 4)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/518400 (pow x 4)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
(* 1/518400 (pow x 2)) |
| Outputs |
|---|
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
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(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* -1/518400 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64)) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3))) |
(*.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) y))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(* 1/518400 (pow x 2)) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
| 5 146× | lower-fma.f32 |
| 5 134× | lower-fma.f64 |
| 4 484× | lower-/.f32 |
| 4 480× | lower-/.f64 |
| 4 110× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 383 |
| 0 | 98 | 356 |
| 1 | 338 | 314 |
| 2 | 2317 | 312 |
| 0 | 8436 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 0 binary64)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
#s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)) |
(cosh.f64 x) |
(*.f64 y y) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) |
(*.f64 (*.f64 y y) y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cosh.f64 x)) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
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(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (*.f64 y (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 y) y)) y (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 y) y)) y (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 y) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 y) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) y (*.f64 (*.f64 y y) y)) |
(fma.f64 (*.f64 y y) (neg.f64 (neg.f64 y)) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 y y) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) y (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 y y) y (*.f64 y #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y) (*.f64 y #s(literal 0 binary64))) |
(fma.f64 y #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) |
(fma.f64 y (*.f64 y y) (*.f64 #s(literal 0 binary64) y)) |
(fma.f64 y (*.f64 y y) (*.f64 y #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) y)) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y y) y)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (*.f64 y y) y)) |
(+.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 0 binary64) y)) |
(+.f64 (*.f64 (*.f64 y y) y) (*.f64 y #s(literal 0 binary64))) |
Compiled 39 627 to 3 307 computations (91.7% saved)
43 alts after pruning (37 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 233 | 14 | 1 247 |
| Fresh | 4 | 23 | 27 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 242 | 43 | 1 285 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 58.5% | (/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) | |
| ✓ | 54.7% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| 36.1% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 37.3% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 33.1% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 54.6% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) | |
| 27.2% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 27.1% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 54.5% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) | |
| 62.5% | (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) | |
| 93.7% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) | |
| 91.7% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y)) | |
| 54.7% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) | |
| 18.9% | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| 36.0% | (*.f64 (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) y) y) | |
| ✓ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| ✓ | 59.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 80.7% | (*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) | |
| ✓ | 92.3% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ✓ | 54.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 37.9% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 54.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 52.2% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 51.1% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 28.2% | (*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 30.1% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 52.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 53.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 76.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 47.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 44.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 42.1% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 53.8% | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 52.0% | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 36.1% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 37.0% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 32.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 6.9% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) | |
| 32.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) | |
| 8.7% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| ✓ | 26.2% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 54.8% | #s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
Compiled 1 933 to 636 computations (67.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) y) y) |
(*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (sin y) (cosh x))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (sin.f64 y) (cosh.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y)) |
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
5 calls:
| 88.0ms | x |
| 84.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 18.0ms | y |
| 18.0ms | (/.f64 (sin.f64 y) y) |
| 14.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 99.9% | 1 | (cosh.f64 x) |
| 99.9% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) y) y) |
(*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 29.0ms | y |
| 15.0ms | x |
| 15.0ms | (cosh.f64 x) |
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 13.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 93.7% | 1 | y |
| 99.4% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 93.7% | 1 | (cosh.f64 x) |
| 93.7% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) y) y) |
(*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) y) y) |
(*.f64 #s(approx (/ (cosh x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 y)) |
(*.f64 #s(approx (/ (* (neg (sin y)) (cosh x)) (neg (* (* y y) y))) (/.f64 (sin.f64 y) (*.f64 (*.f64 y y) y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 45.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (/ (cosh x) y) (/ 1 (sin y))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 36.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 51.0ms | (cosh.f64 x) |
| 10.0ms | y |
| 10.0ms | x |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.1% | 2 | y |
| 59.2% | 1 | (cosh.f64 x) |
| 70.6% | 2 | (/.f64 (sin.f64 y) y) |
| 59.2% | 1 | x |
| 70.7% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) x) x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | (/.f64 (sin.f64 y) y) |
| 66.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 66.6% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 67.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 8.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 6.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 30.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 6.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 66.2% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (/ (- 1/576 (* (* (* 1/518400 (* x x)) x) x)) (- 1/24 (* (* x x) 1/720))) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 64.5% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 2.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 2 | x |
| 52.0% | 1 | (cosh.f64 x) |
| 55.8% | 3 | y |
| 59.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 61.3% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 59.3% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 2.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 1 | (cosh.f64 x) |
| 45.4% | 2 | y |
| 45.3% | 2 | x |
| 49.4% | 2 | (/.f64 (sin.f64 y) y) |
| 49.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 50.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 2.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.7% | 1 | (cosh.f64 x) |
| 32.7% | 1 | x |
| 32.7% | 1 | y |
| 32.7% | 1 | (/.f64 (sin.f64 y) y) |
| 32.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.7% | 2 | y |
| 32.6% | 2 | x |
| 33.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 32.5% | 2 | (cosh.f64 x) |
| 33.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | y |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.2% | 1 | (cosh.f64 x) |
| 26.2% | 1 | x |
| 26.2% | 1 | y |
| 26.2% | 1 | (/.f64 (sin.f64 y) y) |
| 26.2% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999225546189334 | 0.9999948656369657 |
| 0.0ms | -inf | -5.018522064848764e-15 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999225546189334 | 0.9999948656369657 |
| 0.0ms | -inf | -5.018522064848764e-15 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999225546189334 | 0.9999948656369657 |
| 0.0ms | -inf | -5.018522064848764e-15 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999315 | 1.0 |
| 0.0ms | -inf | -5.018522064848764e-15 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999315 | 1.0 |
| 0.0ms | -inf | -5.018522064848764e-15 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.114941655730235e-153 | -1.9723248415961593e-166 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.2569120743740256e-303 | 8.687917551868036e-291 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6151728462115462e-101 | 2.1288055297266698e-101 |
| 0.0ms | -3.2569120743740256e-303 | 1.5485568448842104e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.114941655730235e-153 | -1.9723248415961593e-166 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.114941655730235e-153 | -1.9723248415961593e-166 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.114941655730235e-153 | -1.9723248415961593e-166 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 64× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1543 |
| 1 | 169 | 1543 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007199254740375/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007199254740375/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
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(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6304320991423117/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(literal 1 binary64))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 23 386× | lower-fma.f64 |
| 23 386× | lower-fma.f32 |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 12 690× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 4946 |
| 1 | 678 | 4704 |
| 2 | 2537 | 4522 |
| 3 | 6208 | 4434 |
| 0 | 8373 | 4239 |
| 0 | 27 | 161 |
| 0 | 46 | 161 |
| 1 | 153 | 159 |
| 2 | 886 | 159 |
| 0 | 8421 | 159 |
| 0 | 142 | 3290 |
| 1 | 442 | 3170 |
| 2 | 1419 | 3052 |
| 3 | 4457 | 2955 |
| 0 | 8116 | 2813 |
| 0 | 196 | 3774 |
| 1 | 628 | 3590 |
| 2 | 2323 | 3453 |
| 3 | 5712 | 3385 |
| 4 | 6893 | 3385 |
| 5 | 7661 | 3385 |
| 0 | 8008 | 3258 |
| 0 | 83 | 638 |
| 1 | 268 | 614 |
| 2 | 941 | 588 |
| 3 | 3141 | 569 |
| 0 | 8072 | 539 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 798 to 1 135 computations (59.4% saved)
(abs x)
(abs y)
Compiled 2 362 to 278 computations (88.2% saved)
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